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Finding the Fourth Proportional to 737.27, 1,106.46 and 352.79

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Solution

The fourth proportional to 737.27, 1,106.46 and 352.79 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.27 : 1,106.46 = 352.79 : x
  2. Step 2: Convert to fraction form
    737.27/1,106.46 = 352.79/x
  3. Step 3: Cross multiply
    737.27x = 1,106.46 × 352.79
  4. Step 4: Simplify right side
    737.27x = 390,348.02
  5. Step 5: Solve for x
    x = 390,348.02/737.27
  6. Step 6: Final answer
    x = 529.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.